Consider the dreuit shown in the figure below. (Assume R1-12,00.-1.050·and V-7.5

Question

Consider the dreuit shown in the figure below. (Assume R1-12,00.-1.050·and V-7.50 V) 4.00 Lit... .000 (a) Calculate the equivalent resigtance of the Rs and 5.00- resistors connected in paraliel (b) using the result of part (a), calculate the combined resistance af the Rs, 5.00-11 and 4.0o- resistors (e) Calculiate the equivalent rearstance of the combined resistance found in part (b) and the parailel 3.00-42 resistor (d) Combine the equivalent resistance found in part (c) with the Rg rewistoc (e) Celculate the totai eurrent in the sirouit (f) What is the voltage drop across the R resistor? (a) Subtracting the result of part (r) from the battery voltage, f tnd the voltage across the 3.00-11 resistor (h) Calculate the current in the 3.00-1 resistor 9 3 5

Explanation / Answer

R1 = 12 ohms and 5 ohms are in parallel = R15 = R1 * 5 / R1 + 5 = 12*5 / 12 +5 = 3.53 Ohms

b) 3.53 ohms , 4 ohms are in series so equivalent resistance = 3.5 + 4 = 7.5 ohms

c) 7.5 ohms , 3 ohms are in parallel = 7.5 * 3 / 7.5 + 3 = 2.14 ohms

d) 2.14 ohms , R2 are in series R = 2.14+ R2 = 2.14 + 1.05 = 3.19 ohms

e) total current = i = V/R = 7.5 /3.19 = 2.35 amp

f) V2 = i * R2 = 2.35 * 1.05 = 2.467 V

g) potential across 3 ohms is = v- v2 = 7.5 - 2.467 = 5.03 v

h) current = i3 = v3 / 3 = 5.03 /3 = 1.677 amp = 1.68 amp

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